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Question Number 133892 by EDWIN88 last updated on 25/Feb/21

$$\mathrm{If}u\mathrm{and}v\mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{of}\mathrm{equation}$$$${6\mathrm{x}}^2-6\mathrm{px}+14\mathrm{p}-2=0,\mathrm{where}u;v\mathrm{non}\mathrm{integer}$$$$\mathrm{and}u,v⩾1\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}\mid u-v\mid \mathrm{is}$$$$\left(\mathrm{a}\right)14\left(\mathrm{b}\right)15\left(\mathrm{c}\right)16\left(\mathrm{d}\right)17\left(\mathrm{e}\right)18$$

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